Probability 13.4

A furniture factory makes a

4

-piece desk. Quality control at the factory has randomly sampled numerous desk sets and determined the number of damaged pieces in each set.

The table below is a partially completed probability distribution for the random variable

X

, where

X

represents the number of damaged pieces in a randomly selected desk set from this factory.


$X$ ‍	$0$ ‍	$1$ ‍	$2$ ‍	$3$ ‍	$4$ ‍
$P (X)$ ‍	$0.75$ ‍	$0.14$ ‍	$0.07$ ‍	$0.03$ ‍	$?$ ‍

What is the probability that a randomly selected desk set contains exactly $4$ ‍ damaged pieces?

P (X = 4) =

High school math (India)